Question

Janelle can walk 3 3/4 miles in 1 1/2 hours. at this rate how many miles can janelle walk in 4 hours

Answer 1

Set up a ratio 3 3/4 = 15/4 and 1 1/2 = 3/2 so         
((15/4miles)  / (3/2hours)) = xmiles/4hours  solve for x
so x = 4hours*((15/4miles)/(3/2hours)) = x miles
the hours cancel and you are left with x miles = 10miles

Answer 2

Answer: 10 hours

Step-by-step explanation:

We can use our knowledge in proportion to solve this question.

BUT first, we need to convert all our mixed numbers to improper fractions

3 3/4 = 15/3

1 1/2 = 3/2

We can now proceed to answer the question.

Let x = number of miles jane can work in 4 hours

Using proportions;

3 3/4 miles = 1 1/2 hours

x = 4 hours

To be able to make our x subject of formular, we need to cross multiply and then divide multiply bothside, but before the lets first replace our mixed numbers by the improper fractions

15/ 4 miles = 3/2 hours

x = 4 hours

we can now cross multiply

Then we have;

3/2 × x = 15/4 × 4

3x / 2 = 15 × 4/4

3x / 2 = 15

we wil now have to multiply 2/3 to bothside ofvtge equation to be able to make x stand alone.

Hence;

2/3 × 3/2 X = 15 × 2/3

x = 30/3

x = 10

Therefore Janelle can walk 10miles in 4 hours.